Understanding Coordinate Translations

The video tutorial explains how to translate a triangle on a coordinate plane. It involves moving the triangle seven units to the right and six units down. The tutorial guides viewers through calculating the new coordinates by adjusting the x and y values accordingly. Finally, it demonstrates how to write a rule that describes this translation, using the format X maps to X plus 7 and Y maps to Y minus 6.

What is the main task described in the problem of translating the triangle XYZ?

• To write a rule for the translation

• To reflect the triangle

• To rotate the triangle

• To scale the triangle

How does moving a point to the right affect its x-coordinate?

• It adds to the x-coordinate

• It subtracts from the x-coordinate

• It multiplies the x-coordinate

• It divides the x-coordinate

What happens to the y-coordinate when a point is moved down?

• It divides the y-coordinate

• It multiplies the y-coordinate

• It subtracts from the y-coordinate

• It adds to the y-coordinate

What is the new x-coordinate of point X after translation if the original x-coordinate is -4?

• 1

• 3

• 7

• 0

What is the new y-coordinate of point Y after translation if the original y-coordinate is 5?

• 2

• -1

• 1

• 0

Which rule correctly describes the translation of the x-coordinate?

• X maps to X minus 6

• X maps to X plus 7

• X maps to X plus 6

• X maps to X minus 7

Which rule correctly describes the translation of the y-coordinate?

• Y maps to Y plus 7

• Y maps to Y minus 7

• Y maps to Y minus 6

• Y maps to Y plus 6

What is the final step in describing the translation of the triangle?

• Calculating the area of the triangle

• Formulating a rule for the translation

• Drawing the translated triangle

• Finding the midpoint of the triangle